Results 11 to 20 of about 26,213 (204)

Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]

, 2017
Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
core   +2 more sources

Homogeneity of inverse semigroups [PDF]

International Journal of Algebra and Computation, 2018
An inverse semigroup [Formula: see text] is a semigroup in which every element has a unique inverse in the sense of semigroup theory, that is, if [Formula: see text] then there exists a unique [Formula: see text] such that [Formula: see text] and [Formula: see text].
openaire   +3 more sources

Brandt Extensions and Primitive Topological Inverse Semigroups

International Journal of Mathematics and Mathematical Sciences, 2010
We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski, Oleg Gutik, Kateryna Pavlyk   +2 more
doaj   +1 more source

Various notions of module amenability on weighted semigroup algebras

Demonstratio Mathematica, 2022
Let SS be an inverse semigroup with the set of idempotents EE. In this article, we find necessary and sufficient conditions for the weighted semigroup algebra l1(S,ω){l}^{1}\left(S,\omega ) to be module approximately amenable (contractible) and module ...
Bodaghi Abasalt, Tanha Somaye Grailoo
doaj   +1 more source

Some Characterizations for Approximate Biflatness of Semigroup Algebras

Journal of Mathematics, 2023
In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
doaj   +1 more source

Second Module Cohomology Group of Induced Semigroup Algebras [PDF]

Sahand Communications in Mathematical Analysis, 2021
For a discrete semigroup $ S $ and a left multiplier operator  $T$ on  $S$, there is a new induced semigroup $S_{T}$, related to $S$ and $T$. In this paper, we show that if $T$ is multiplier and bijective,  then the second module cohomology groups ...
Mohammad Reza Miri, Ebrahim Nasrabadi, Kianoush Kazemi   +2 more
doaj   +1 more source

A Note on Locally Inverse Semigroup Algebras

International Journal of Mathematics and Mathematical Sciences, 2008
Let R be a commutative ring and S a finite locally inverse semigroup. It is proved that the semigroup algebra R[S] is isomorphic to the direct product of Munn algebras ℳ(R[GJ],mJ,nJ;PJ) with J∈S/𝒥, where mJ is the number of ℛ-classes in J, nJ the
Xiaojiang Guo
doaj   +1 more source

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018
In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra lr1(S) and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semigroups such as Brandt semigroup, and ...
Olufemi Johnson Ogunsola, Ifeyinwa E. Daniel   +1 more
doaj   +1 more source

The Abelian Kernel of an Inverse Semigroup

Mathematics, 2020
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches, V. Pérez-Calabuig   +1 more
doaj   +1 more source

The Structure of a Graph Inverse Semigroup [PDF]

, 2015
Given any directed graph E one can construct a graph inverse semigroup G(E), where, roughly speaking, elements correspond to paths in the graph. In this paper we study the semigroup-theoretic structure of G(E).
Mesyan, Zachary, Mitchell, J. D.
core   +3 more sources